Executives at The Walt Disney Company are interested in estimating the mean spending per capita for people who visit Disney World in Orlando, Florida. They plan to use the Z-distribution but they know it requires that the population be normally distributed. Six hundred customers were randomly surveyed, and the amount spent during their stay at Disney World was recorded. Before using the sample data to estimate the population mean, the managers wish to test at the 0.01 significance level to determine whether the population is normally distributed. The data has been organized into the frequency table below. a. Calculate the expected frequencies if the population is normally distributed. The sample mean is 133.3 and the sample standard deviation is 26. (Round the expected frequencies to 2 decimal places) Class Frequency Expected Frequencies Under 50 3 50 up to 70 6 70 up to 90 24 90 up to 110 81 110 up to 130 154 130 up to 150 177 150 up to 170 108 170 up to 190 36 190 up to 210 9 210 and above 2 b. Select the correct hypothesis statements. multiple choice 1 H0: The distribution is not normal; H1: The distribution is normal H0: The distribution is not uniform; H1: The distribution is uniform H0: The distribution is normal; H1: The distribution is not normal H0: The distribution is uniform; H1: The distribution is not uniform c. Compute the value of the test statistic? (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them) d. Determine the p-value (Round your final answer to 4 decimal places.) e. What is your decision regarding the null hypothesis? multiple choice 2 Fail to reject the null. Reject the null. f. Interpret the result.

MATLAB: An Introduction with Applications

6th Edition

ISBN:9781119256830

Author:Amos Gilat

Publisher:Amos Gilat

Chapter1: Starting With Matlab

Section: Chapter Questions

Problem 1P

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Executives at The Walt Disney Company are interested in estimating the mean spending per capita for people who visit Disney World in Orlando, Florida. They plan to use the Z-distribution but they know it requires that the population be normally distributed. Six hundred customers were randomly surveyed, and the amount spent during their stay at Disney World was recorded. Before using the sample data to estimate the population mean, the managers wish to test at the 0.01 significance level to determine whether the population is normally distributed. The data has been organized into the frequency table below.

a. Calculate the expected frequencies if the population is normally distributed. The sample mean is 133.3 and the sample standard deviation is 26. (Round the expected frequencies to 2 decimal places)

Class	Frequency	Expected Frequencies
Under 50	3
50 up to 70	6
70 up to 90	24
90 up to 110	81
110 up to 130	154
130 up to 150	177
150 up to 170	108
170 up to 190	36
190 up to 210	9
210 and above	2

b. Select the correct hypothesis statements.

multiple choice 1

H₀: The distribution is not normal; H₁: The distribution is normal
H₀: The distribution is not uniform; H₁: The distribution is uniform
H₀: The distribution is normal; H₁: The distribution is not normal
H₀: The distribution is uniform; H₁: The distribution is not uniform

c. Compute the value of the test statistic? (Round your answer to 2 decimal places. Negative values should have a minus sign in front of them)

d. Determine the p-value (Round your final answer to 4 decimal places.)

e. What is your decision regarding the null hypothesis?

multiple choice 2

Fail to reject the null.
Reject the null.

f. Interpret the result.

Features Features Normal distribution is characterized by two parameters, mean (µ) and standard deviation (σ). When graphed, the mean represents the center of the bell curve and the graph is perfectly symmetric about the center. The mean, median, and mode are all equal for a normal distribution. The standard deviation measures the data's spread from the center. The higher the standard deviation, the more the data is spread out and the flatter the bell curve looks. Variance is another commonly used measure of the spread of the distribution and is equal to the square of the standard deviation.

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